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Finding the Fourth Proportional to 1,369.01, 2,053.79 and 588.91

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Solution

The fourth proportional to 1,369.01, 2,053.79 and 588.91 is: 883.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.01 : 2,053.79 = 588.91 : x
  2. Step 2: Convert to fraction form
    1,369.01/2,053.79 = 588.91/x
  3. Step 3: Cross multiply
    1,369.01x = 2,053.79 × 588.91
  4. Step 4: Simplify right side
    1,369.01x = 1,209,497.47
  5. Step 5: Solve for x
    x = 1,209,497.47/1,369.01
  6. Step 6: Final answer
    x = 883.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.